College Algebra - Week 10

Homework

Check each answer individually. Use the hint if you get stuck, then ask the tutor.

Problem 1 · easy

Simplify: sqrt(49)

Problem 2 · easy

Simplify: cube-root(125)

Problem 3 · easy

Write in radical form: 16^(1/4)

Problem 4 · easy

Write in radical form: 27^(2/3)

Problem 5 · easy

Simplify: sqrt(48)

Problem 6 · easy

Simplify: sqrt(75)

Problem 7 · medium

Simplify: sqrt(18x^5)

Problem 8 · easy

Add: 3*sqrt(5) + 7*sqrt(5)

Problem 9 · medium

Simplify: 2*sqrt(8) + 3*sqrt(2)

Problem 10 · medium

Simplify: sqrt(50) - 2*sqrt(18)

Problem 11 · easy

Multiply: sqrt(3) * sqrt(15)

Problem 12 · medium

Multiply: sqrt(5)(sqrt(10) - sqrt(5))

Problem 13 · medium

Multiply: (sqrt(3) + 2)(sqrt(3) - 2)

Problem 14 · easy

Rationalize: 6/sqrt(3)

Problem 15 · medium

Rationalize: 5/(sqrt(7) - 2)

Problem 16 · medium

Rationalize: 3/(4 + sqrt(5))

Problem 17 · easy

Solve: sqrt(x) = 7

Problem 18 · easy

Solve: sqrt(2x + 1) = 5

Problem 19 · challenge

Solve: sqrt(x - 3) = x - 9

Problem 20 · medium

Solve: cube-root(x + 4) = 3

Problem 21 · medium

Simplify: x^(3/4) * x^(1/4)

Problem 22 · easy

Simplify: (x^(1/2))^4

Problem 23 · medium

Simplify: sqrt(12x^2y^4)

Problem 24 · challenge

Solve: sqrt(3x + 1) - 1 = x

Problem 25 · challenge

Simplify: (27x^6)^(2/3)